Prime p₀= 129486993693968759 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 166 2 118 2 (?)
a_n: 0 2 30 32 60 62 90 92 258 260 378 380
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 380
Found by: L@MiR
db: batch=67, k=12, 28 28 28 166 118

TPT(12)	129486882765256439	0 2 78 80 150 152 192 194 288 290 300 302	-110928712320
SPT(14)	129486888152075941	0 22 42 48 82 90 100 138 148 156 190 196 216 238	-105541892818
SPT(14)	129486890243273753	0 68 78 134 138 164 180 194 210 236 240 296 306 374	-103450695006
SPT(14)	129486914009149439	0 2 8 12 14 72 74 78 80 138 140 144 150 152	-79684819320
SPT(14)	129486927897340469	0 30 54 78 114 140 152 180 192 218 254 278 302 332	-65796628290
SPT(14)	129486988717784741	0 8 66 80 108 150 158 168 176 218 246 260 318 326	-4976184018
SPT(14)	129487008979378373	0 24 26 30 96 140 156 164 180 224 290 294 296 320	15285409614
SPT(14)	129487012122796021	0 12 30 52 70 78 82 96 100 108 126 148 166 178	18428827262
SPT(14)	129487014952445741	0 2 8 78 86 96 120 128 152 162 170 240 246 248	21258476982
SPT(16)	129487022130505681	0 42 66 82 120 136 180 186 256 262 306 322 360 376 400 442	28436536922
SPT(14)	129487025128795559	0 8 12 14 30 84 122 240 278 332 348 350 354 362	31434826800